应用微分方程边界识别方法实现试压管道严密性漏失检测  

Pipeline Leakage Detection in Gas Pressure Test Stage Based on Method of Differential Equation Boundary Identification

作　　者：田园[1] 杨帆[1] 周华英[2] 贺三[3] 谢英[3] 

机构地区：[1]重庆科技学院石油与天然气工程学院,重庆401331 [2]西南油气田分公司输气管理处,四川成都610000 [3]西南石油大学石油工程学院,四川成都610000

出　　处：《石油工程建设》2010年第3期21-24,共4页Petroleum Engineering Construction

摘　　要：根据试气阶段管道运行的特点,建立了输配气管网试气阶段单点泄漏(含泄漏位置、泄漏强度系数和泄漏衰减系数)的偏微分方程模型。基于微分方程边界条件反演,将漏失位置和漏失强度的辨识转化为关于偏微分方程的反问题,再根据严密性试压特点,给出泄漏强度系数与泄漏衰减系数两个补充条件,采用拉普拉斯变换导出泄漏位置、泄漏强度系数与泄漏衰减系数的数学表达式,应用"压缩映像原理"构造出数值计算格式并对实例进行了分析计算。分析结果表明,计算值与实际情况能较好地吻合,基本符合输配气管网试气阶段泄漏检测的需要。A nonlinear partial differential equation group is set up to describe the operation of pipeline network based on continuity equation,momentum equation and state equation,which is reduced to a linear equation of heat conduction equation by linear method.A linear partial differential equation model is developed to describe the single-leakage in the gas pipeline network during the gas testing stage for the first time,the analytic solution of which is deduced by Laplace integral transform.Then the mathematic expression determining the position,intensity and attenuation coefficient of leakages is deduced after two additional conditions being decided.Based on that,the theorem on the existence and uniqueness of the position and attenuation coefficient of leakages is proved with principle of contraction mapping,and the stability estimate is given.At last,according to the mathematical expression,a computer program is developed by structuring the numerical calculation format,and then some examples are calculated.The calculation results show that the theoretic values fit the real values well,which can satisfy the leakage detection requirements in pressure test stage of the gas pipeline network.

关 键 词：长输管道 试压 泄漏检测 泄漏模型 拉普拉斯变换 压缩映像 

分 类 号：TE973.6[石油与天然气工程—石油机械设备]